TSTP Solution File: SEU249+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU249+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 08:40:04 EDT 2022
% Result : Theorem 90.58s 16.12s
% Output : CNFRefutation 90.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 29
% Syntax : Number of clauses : 115 ( 18 unt; 34 nHn; 83 RR)
% Number of literals : 274 ( 44 equ; 114 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-2 aty)
% Number of variables : 187 ( 46 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_13,plain,
( in(X1,X2)
| in(X1,X3)
| X4 != set_union2(X3,X2)
| ~ in(X1,X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0p_g26vn/input.p',i_0_13) ).
cnf(i_0_56,plain,
( relation_rng(relation_rng_restriction(X1,X2)) = set_intersection2(relation_rng(X2),X1)
| ~ relation(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0p_g26vn/input.p',i_0_56) ).
cnf(i_0_58,plain,
( relation_rng_restriction(X1,relation_dom_restriction(X2,X1)) = relation_restriction(X2,X1)
| ~ relation(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0p_g26vn/input.p',i_0_58) ).
cnf(i_0_7,plain,
set_intersection2(X1,X2) = set_intersection2(X2,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0p_g26vn/input.p',i_0_7) ).
cnf(i_0_20,plain,
( set_union2(relation_dom(X1),relation_rng(X1)) = relation_field(X1)
| ~ relation(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0p_g26vn/input.p',i_0_20) ).
cnf(i_0_73,plain,
( relation_dom(relation_dom_restriction(X1,X2)) = set_intersection2(relation_dom(X1),X2)
| ~ relation(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0p_g26vn/input.p',i_0_73) ).
cnf(i_0_57,plain,
( relation_dom_restriction(relation_rng_restriction(X1,X2),X1) = relation_restriction(X2,X1)
| ~ relation(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0p_g26vn/input.p',i_0_57) ).
cnf(i_0_18,plain,
( in(X1,X2)
| X3 != set_intersection2(X4,X2)
| ~ in(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0p_g26vn/input.p',i_0_18) ).
cnf(i_0_31,plain,
( relation(relation_dom_restriction(X1,X2))
| ~ relation(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0p_g26vn/input.p',i_0_31) ).
cnf(i_0_60,negated_conjecture,
in(esk9_0,relation_field(relation_restriction(esk11_0,esk10_0))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0p_g26vn/input.p',i_0_60) ).
cnf(i_0_32,plain,
( relation(relation_rng_restriction(X1,X2))
| ~ relation(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0p_g26vn/input.p',i_0_32) ).
cnf(i_0_26,plain,
( relation(relation_restriction(X1,X2))
| ~ relation(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0p_g26vn/input.p',i_0_26) ).
cnf(i_0_61,negated_conjecture,
relation(esk11_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0p_g26vn/input.p',i_0_61) ).
cnf(i_0_66,plain,
( element(X1,powerset(X2))
| ~ subset(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0p_g26vn/input.p',i_0_66) ).
cnf(i_0_74,plain,
( subset(relation_rng(relation_dom_restriction(X1,X2)),relation_rng(X1))
| ~ relation(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0p_g26vn/input.p',i_0_74) ).
cnf(i_0_44,plain,
( subset(relation_dom(relation_rng_restriction(X1,X2)),relation_dom(X2))
| ~ relation(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0p_g26vn/input.p',i_0_44) ).
cnf(i_0_68,plain,
( element(X1,X2)
| ~ in(X1,X3)
| ~ element(X3,powerset(X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0p_g26vn/input.p',i_0_68) ).
cnf(i_0_65,plain,
( empty(X1)
| in(X2,X1)
| ~ element(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0p_g26vn/input.p',i_0_65) ).
cnf(i_0_69,plain,
( ~ empty(X1)
| ~ in(X2,X3)
| ~ element(X3,powerset(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0p_g26vn/input.p',i_0_69) ).
cnf(i_0_70,plain,
( X1 = empty_set
| ~ empty(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0p_g26vn/input.p',i_0_70) ).
cnf(i_0_19,plain,
( in(X1,X2)
| X3 != set_intersection2(X2,X4)
| ~ in(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0p_g26vn/input.p',i_0_19) ).
cnf(i_0_11,plain,
( in(X1,X2)
| X2 != set_union2(X3,X4)
| ~ in(X1,X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0p_g26vn/input.p',i_0_11) ).
cnf(i_0_59,negated_conjecture,
( ~ in(esk9_0,esk10_0)
| ~ in(esk9_0,relation_field(esk11_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0p_g26vn/input.p',i_0_59) ).
cnf(i_0_12,plain,
( in(X1,X2)
| X2 != set_union2(X3,X4)
| ~ in(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0p_g26vn/input.p',i_0_12) ).
cnf(i_0_17,plain,
( in(X1,X2)
| X2 != set_intersection2(X3,X4)
| ~ in(X1,X4)
| ~ in(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0p_g26vn/input.p',i_0_17) ).
cnf(i_0_62,plain,
set_union2(X1,empty_set) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0p_g26vn/input.p',i_0_62) ).
cnf(i_0_71,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0p_g26vn/input.p',i_0_71) ).
cnf(i_0_64,plain,
set_intersection2(X1,empty_set) = empty_set,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0p_g26vn/input.p',i_0_64) ).
cnf(i_0_35,plain,
empty(empty_set),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0p_g26vn/input.p',i_0_35) ).
cnf(c_0_104,plain,
( in(X1,X2)
| in(X1,X3)
| X4 != set_union2(X3,X2)
| ~ in(X1,X4) ),
i_0_13 ).
cnf(c_0_105,plain,
( relation_rng(relation_rng_restriction(X1,X2)) = set_intersection2(relation_rng(X2),X1)
| ~ relation(X2) ),
i_0_56 ).
cnf(c_0_106,plain,
( relation_rng_restriction(X1,relation_dom_restriction(X2,X1)) = relation_restriction(X2,X1)
| ~ relation(X2) ),
i_0_58 ).
cnf(c_0_107,plain,
set_intersection2(X1,X2) = set_intersection2(X2,X1),
i_0_7 ).
cnf(c_0_108,plain,
( in(X1,X2)
| in(X1,X3)
| ~ in(X1,set_union2(X2,X3)) ),
inference(er,[status(thm)],[c_0_104]) ).
cnf(c_0_109,plain,
( set_union2(relation_dom(X1),relation_rng(X1)) = relation_field(X1)
| ~ relation(X1) ),
i_0_20 ).
cnf(c_0_110,plain,
( relation_dom(relation_dom_restriction(X1,X2)) = set_intersection2(relation_dom(X1),X2)
| ~ relation(X1) ),
i_0_73 ).
cnf(c_0_111,plain,
( relation_dom_restriction(relation_rng_restriction(X1,X2),X1) = relation_restriction(X2,X1)
| ~ relation(X2) ),
i_0_57 ).
cnf(c_0_112,plain,
( in(X1,X2)
| X3 != set_intersection2(X4,X2)
| ~ in(X1,X3) ),
i_0_18 ).
cnf(c_0_113,plain,
( set_intersection2(X1,relation_rng(relation_dom_restriction(X2,X1))) = relation_rng(relation_restriction(X2,X1))
| ~ relation(relation_dom_restriction(X2,X1))
| ~ relation(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_107]) ).
cnf(c_0_114,plain,
( relation(relation_dom_restriction(X1,X2))
| ~ relation(X1) ),
i_0_31 ).
cnf(c_0_115,plain,
( in(X1,relation_dom(X2))
| in(X1,relation_rng(X2))
| ~ in(X1,relation_field(X2))
| ~ relation(X2) ),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_116,negated_conjecture,
in(esk9_0,relation_field(relation_restriction(esk11_0,esk10_0))),
i_0_60 ).
cnf(c_0_117,plain,
( set_intersection2(X1,relation_dom(relation_rng_restriction(X1,X2))) = relation_dom(relation_restriction(X2,X1))
| ~ relation(relation_rng_restriction(X1,X2))
| ~ relation(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_107]) ).
cnf(c_0_118,plain,
( relation(relation_rng_restriction(X1,X2))
| ~ relation(X2) ),
i_0_32 ).
cnf(c_0_119,plain,
( in(X1,X2)
| ~ in(X1,set_intersection2(X3,X2)) ),
inference(er,[status(thm)],[c_0_112]) ).
cnf(c_0_120,plain,
( set_intersection2(X1,relation_rng(relation_dom_restriction(X2,X1))) = relation_rng(relation_restriction(X2,X1))
| ~ relation(X2) ),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_121,negated_conjecture,
( in(esk9_0,relation_dom(relation_restriction(esk11_0,esk10_0)))
| in(esk9_0,relation_rng(relation_restriction(esk11_0,esk10_0)))
| ~ relation(relation_restriction(esk11_0,esk10_0)) ),
inference(spm,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_122,plain,
( relation(relation_restriction(X1,X2))
| ~ relation(X1) ),
i_0_26 ).
cnf(c_0_123,negated_conjecture,
relation(esk11_0),
i_0_61 ).
cnf(c_0_124,plain,
( element(X1,powerset(X2))
| ~ subset(X1,X2) ),
i_0_66 ).
cnf(c_0_125,plain,
( subset(relation_rng(relation_dom_restriction(X1,X2)),relation_rng(X1))
| ~ relation(X1) ),
i_0_74 ).
cnf(c_0_126,plain,
( set_intersection2(X1,relation_dom(relation_rng_restriction(X1,X2))) = relation_dom(relation_restriction(X2,X1))
| ~ relation(X2) ),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_127,plain,
( in(X1,relation_rng(relation_dom_restriction(X2,X3)))
| ~ in(X1,relation_rng(relation_restriction(X2,X3)))
| ~ relation(X2) ),
inference(spm,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_128,plain,
( in(esk9_0,relation_dom(relation_restriction(esk11_0,esk10_0)))
| in(esk9_0,relation_rng(relation_restriction(esk11_0,esk10_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_123])]) ).
cnf(c_0_129,plain,
( subset(relation_dom(relation_rng_restriction(X1,X2)),relation_dom(X2))
| ~ relation(X2) ),
i_0_44 ).
cnf(c_0_130,plain,
( element(X1,X2)
| ~ in(X1,X3)
| ~ element(X3,powerset(X2)) ),
i_0_68 ).
cnf(c_0_131,plain,
( element(relation_rng(relation_dom_restriction(X1,X2)),powerset(relation_rng(X1)))
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_132,plain,
( in(X1,relation_dom(relation_rng_restriction(X2,X3)))
| ~ in(X1,relation_dom(relation_restriction(X3,X2)))
| ~ relation(X3) ),
inference(spm,[status(thm)],[c_0_119,c_0_126]) ).
cnf(c_0_133,plain,
( in(esk9_0,relation_rng(relation_dom_restriction(esk11_0,esk10_0)))
| in(esk9_0,relation_dom(relation_restriction(esk11_0,esk10_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_123])]) ).
cnf(c_0_134,plain,
( element(relation_dom(relation_rng_restriction(X1,X2)),powerset(relation_dom(X2)))
| ~ relation(X2) ),
inference(spm,[status(thm)],[c_0_124,c_0_129]) ).
cnf(c_0_135,plain,
( element(X1,relation_rng(X2))
| ~ in(X1,relation_rng(relation_dom_restriction(X2,X3)))
| ~ relation(X2) ),
inference(spm,[status(thm)],[c_0_130,c_0_131]) ).
cnf(c_0_136,plain,
( in(esk9_0,relation_dom(relation_rng_restriction(esk10_0,esk11_0)))
| in(esk9_0,relation_rng(relation_dom_restriction(esk11_0,esk10_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_123])]) ).
cnf(c_0_137,plain,
( element(X1,relation_dom(X2))
| ~ in(X1,relation_dom(relation_rng_restriction(X3,X2)))
| ~ relation(X2) ),
inference(spm,[status(thm)],[c_0_130,c_0_134]) ).
cnf(c_0_138,plain,
( in(esk9_0,relation_dom(relation_rng_restriction(esk10_0,esk11_0)))
| element(esk9_0,relation_rng(esk11_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_123])]) ).
cnf(c_0_139,plain,
( empty(X1)
| in(X2,X1)
| ~ element(X2,X1) ),
i_0_65 ).
cnf(c_0_140,plain,
( element(esk9_0,relation_dom(esk11_0))
| element(esk9_0,relation_rng(esk11_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_123])]) ).
cnf(c_0_141,plain,
( ~ empty(X1)
| ~ in(X2,X3)
| ~ element(X3,powerset(X1)) ),
i_0_69 ).
cnf(c_0_142,plain,
( in(esk9_0,relation_rng(esk11_0))
| element(esk9_0,relation_dom(esk11_0))
| empty(relation_rng(esk11_0)) ),
inference(spm,[status(thm)],[c_0_139,c_0_140]) ).
cnf(c_0_143,plain,
( ~ in(X1,relation_rng(relation_dom_restriction(X2,X3)))
| ~ relation(X2)
| ~ empty(relation_rng(X2)) ),
inference(spm,[status(thm)],[c_0_141,c_0_131]) ).
cnf(c_0_144,plain,
( in(esk9_0,relation_dom(esk11_0))
| in(esk9_0,relation_rng(esk11_0))
| empty(relation_dom(esk11_0))
| empty(relation_rng(esk11_0)) ),
inference(spm,[status(thm)],[c_0_139,c_0_142]) ).
cnf(c_0_145,plain,
( in(esk9_0,relation_dom(esk11_0))
| in(esk9_0,relation_rng(esk11_0))
| empty(relation_dom(esk11_0))
| ~ in(X1,relation_rng(relation_dom_restriction(esk11_0,X2))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_123])]) ).
cnf(c_0_146,plain,
( X1 = empty_set
| ~ empty(X1) ),
i_0_70 ).
cnf(c_0_147,plain,
( in(esk9_0,relation_dom(relation_rng_restriction(esk10_0,esk11_0)))
| in(esk9_0,relation_dom(esk11_0))
| in(esk9_0,relation_rng(esk11_0))
| empty(relation_dom(esk11_0)) ),
inference(spm,[status(thm)],[c_0_145,c_0_136]) ).
cnf(c_0_148,plain,
( ~ in(X1,relation_dom(relation_rng_restriction(X2,X3)))
| ~ relation(X3)
| ~ empty(relation_dom(X3)) ),
inference(spm,[status(thm)],[c_0_141,c_0_134]) ).
cnf(c_0_149,plain,
( relation_rng(esk11_0) = empty_set
| in(esk9_0,relation_dom(esk11_0))
| in(esk9_0,relation_rng(esk11_0))
| empty(relation_dom(esk11_0)) ),
inference(spm,[status(thm)],[c_0_146,c_0_144]) ).
cnf(c_0_150,plain,
( in(X1,X2)
| X3 != set_intersection2(X2,X4)
| ~ in(X1,X3) ),
i_0_19 ).
cnf(c_0_151,plain,
( in(esk9_0,relation_dom(esk11_0))
| in(esk9_0,relation_rng(esk11_0))
| element(esk9_0,relation_dom(esk11_0))
| empty(relation_dom(esk11_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_147]),c_0_123])]) ).
cnf(c_0_152,plain,
( relation_rng(esk11_0) = empty_set
| in(esk9_0,relation_dom(esk11_0))
| in(esk9_0,relation_rng(esk11_0))
| ~ in(X1,relation_dom(relation_rng_restriction(X2,esk11_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_123])]) ).
cnf(c_0_153,plain,
( in(X1,X2)
| ~ in(X1,set_intersection2(X2,X3)) ),
inference(er,[status(thm)],[c_0_150]) ).
cnf(c_0_154,plain,
( in(esk9_0,relation_dom(esk11_0))
| in(esk9_0,relation_rng(esk11_0))
| empty(relation_dom(esk11_0)) ),
inference(spm,[status(thm)],[c_0_139,c_0_151]) ).
cnf(c_0_155,plain,
( relation_rng(esk11_0) = empty_set
| in(esk9_0,relation_dom(esk11_0))
| in(esk9_0,relation_rng(esk11_0))
| element(esk9_0,relation_rng(esk11_0)) ),
inference(spm,[status(thm)],[c_0_152,c_0_138]) ).
cnf(c_0_156,plain,
( in(X1,X2)
| ~ in(X1,relation_rng(relation_restriction(X3,X2)))
| ~ relation(X3) ),
inference(spm,[status(thm)],[c_0_153,c_0_120]) ).
cnf(c_0_157,plain,
( in(esk9_0,relation_dom(esk11_0))
| in(esk9_0,relation_rng(esk11_0))
| ~ in(X1,relation_dom(relation_rng_restriction(X2,esk11_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_154]),c_0_123])]) ).
cnf(c_0_158,plain,
( in(X1,X2)
| X2 != set_union2(X3,X4)
| ~ in(X1,X4) ),
i_0_11 ).
cnf(c_0_159,plain,
( relation_rng(esk11_0) = empty_set
| in(esk9_0,relation_rng(esk11_0))
| in(esk9_0,relation_dom(esk11_0))
| empty(relation_rng(esk11_0)) ),
inference(spm,[status(thm)],[c_0_139,c_0_155]) ).
cnf(c_0_160,plain,
( in(X1,X2)
| ~ in(X1,relation_dom(relation_restriction(X3,X2)))
| ~ relation(X3) ),
inference(spm,[status(thm)],[c_0_153,c_0_126]) ).
cnf(c_0_161,plain,
( in(esk9_0,relation_dom(relation_restriction(esk11_0,esk10_0)))
| in(esk9_0,esk10_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_128]),c_0_123])]) ).
cnf(c_0_162,plain,
( in(esk9_0,relation_dom(esk11_0))
| in(esk9_0,relation_rng(esk11_0))
| element(esk9_0,relation_rng(esk11_0)) ),
inference(spm,[status(thm)],[c_0_157,c_0_138]) ).
cnf(c_0_163,plain,
( in(X1,set_union2(X2,X3))
| ~ in(X1,X3) ),
inference(er,[status(thm)],[c_0_158]) ).
cnf(c_0_164,plain,
( relation_rng(esk11_0) = empty_set
| in(esk9_0,relation_rng(esk11_0))
| in(esk9_0,relation_dom(esk11_0)) ),
inference(spm,[status(thm)],[c_0_146,c_0_159]) ).
cnf(c_0_165,negated_conjecture,
( ~ in(esk9_0,esk10_0)
| ~ in(esk9_0,relation_field(esk11_0)) ),
i_0_59 ).
cnf(c_0_166,plain,
in(esk9_0,esk10_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_161]),c_0_123])]) ).
cnf(c_0_167,plain,
( in(esk9_0,relation_rng(esk11_0))
| in(esk9_0,relation_dom(esk11_0))
| empty(relation_rng(esk11_0)) ),
inference(spm,[status(thm)],[c_0_139,c_0_162]) ).
cnf(c_0_168,plain,
( in(X1,X2)
| X2 != set_union2(X3,X4)
| ~ in(X1,X3) ),
i_0_12 ).
cnf(c_0_169,plain,
( relation_rng(esk11_0) = empty_set
| in(esk9_0,set_union2(X1,relation_rng(esk11_0)))
| in(esk9_0,relation_dom(esk11_0)) ),
inference(spm,[status(thm)],[c_0_163,c_0_164]) ).
cnf(c_0_170,negated_conjecture,
~ in(esk9_0,relation_field(esk11_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_165,c_0_166])]) ).
cnf(c_0_171,plain,
( in(X1,X2)
| X2 != set_intersection2(X3,X4)
| ~ in(X1,X4)
| ~ in(X1,X3) ),
i_0_17 ).
cnf(c_0_172,plain,
( in(esk9_0,relation_rng(esk11_0))
| in(esk9_0,relation_dom(esk11_0))
| ~ in(X1,relation_rng(relation_dom_restriction(esk11_0,X2))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_167]),c_0_123])]) ).
cnf(c_0_173,plain,
( in(X1,set_union2(X2,X3))
| ~ in(X1,X2) ),
inference(er,[status(thm)],[c_0_168]) ).
cnf(c_0_174,plain,
( relation_rng(esk11_0) = empty_set
| in(esk9_0,relation_dom(esk11_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_109]),c_0_123])]),c_0_170]) ).
cnf(c_0_175,plain,
( in(X1,set_intersection2(X2,X3))
| ~ in(X1,X3)
| ~ in(X1,X2) ),
inference(er,[status(thm)],[c_0_171]) ).
cnf(c_0_176,plain,
( in(esk9_0,relation_dom(relation_rng_restriction(esk10_0,esk11_0)))
| in(esk9_0,relation_rng(esk11_0))
| in(esk9_0,relation_dom(esk11_0)) ),
inference(spm,[status(thm)],[c_0_172,c_0_136]) ).
cnf(c_0_177,plain,
( relation_rng(esk11_0) = empty_set
| in(esk9_0,set_union2(relation_dom(esk11_0),X1)) ),
inference(spm,[status(thm)],[c_0_173,c_0_174]) ).
cnf(c_0_178,plain,
( in(esk9_0,set_intersection2(X1,esk10_0))
| ~ in(esk9_0,X1) ),
inference(spm,[status(thm)],[c_0_175,c_0_166]) ).
cnf(c_0_179,plain,
( in(esk9_0,relation_dom(esk11_0))
| in(esk9_0,relation_rng(esk11_0)) ),
inference(spm,[status(thm)],[c_0_157,c_0_176]) ).
cnf(c_0_180,plain,
relation_rng(esk11_0) = empty_set,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_109]),c_0_123])]),c_0_170]) ).
cnf(c_0_181,plain,
set_union2(X1,empty_set) = X1,
i_0_62 ).
cnf(c_0_182,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
i_0_71 ).
cnf(c_0_183,plain,
( in(esk9_0,set_intersection2(esk10_0,relation_rng(esk11_0)))
| in(esk9_0,relation_dom(esk11_0)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_179]),c_0_107]) ).
cnf(c_0_184,plain,
relation_field(esk11_0) = relation_dom(esk11_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_180]),c_0_181]),c_0_123])]) ).
cnf(c_0_185,plain,
( in(esk9_0,relation_dom(esk11_0))
| ~ empty(set_intersection2(esk10_0,relation_rng(esk11_0))) ),
inference(spm,[status(thm)],[c_0_182,c_0_183]) ).
cnf(c_0_186,plain,
set_intersection2(X1,empty_set) = empty_set,
i_0_64 ).
cnf(c_0_187,plain,
empty(empty_set),
i_0_35 ).
cnf(c_0_188,negated_conjecture,
~ in(esk9_0,relation_dom(esk11_0)),
inference(rw,[status(thm)],[c_0_170,c_0_184]) ).
cnf(c_0_189,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_185,c_0_180]),c_0_186]),c_0_187])]),c_0_188]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : SEU249+1 : TPTP v8.1.0. Released v3.3.0.
% 0.09/0.15 % Command : enigmatic-eprover.py %s %d 1
% 0.14/0.36 % Computer : n013.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sun Jun 19 00:01:00 EDT 2022
% 0.14/0.37 % CPUTime :
% 0.21/0.48 # ENIGMATIC: Selected complete mode:
% 90.58/16.12 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d30-l6400-e0.15+coop-eprover66:
% 90.58/16.12 # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 43; version: 991; iters: 150)
% 90.58/16.12 # Preprocessing time : 0.852 s
% 90.58/16.12 # Presaturation interreduction done
% 90.58/16.12
% 90.58/16.12 # Proof found!
% 90.58/16.12 # SZS status Theorem
% 90.58/16.12 # SZS output start CNFRefutation
% See solution above
% 90.58/16.12 # Training examples: 0 positive, 0 negative
% 90.58/16.12
% 90.58/16.12 # -------------------------------------------------
% 90.58/16.12 # User time : 10.242 s
% 90.58/16.12 # System time : 0.236 s
% 90.58/16.12 # Total time : 10.478 s
% 90.58/16.12 # ...preprocessing : 0.852 s
% 90.58/16.12 # ...main loop : 9.627 s
% 90.58/16.12 # Maximum resident set size: 168348 pages
% 90.58/16.12
%------------------------------------------------------------------------------